Geometries, the principle of duality, and algebraic groups
Representation Theory
2009-05-23 v2
Abstract
Jacques Tits gave a general recipe for producing an abstract geometry from a semisimple algebraic group. This expository paper describes a uniform method for giving a concrete realization of Tits's geometry and works through several examples. We also give a criterion for recognizing the automorphism of the geometry induced by an automorphism of the group. The E6 geometry is studied in depth.
Cite
@article{arxiv.math/0503201,
title = {Geometries, the principle of duality, and algebraic groups},
author = {Michael Carr and Skip Garibaldi},
journal= {arXiv preprint arXiv:math/0503201},
year = {2009}
}
Comments
The writing has been cleaned up since v1